Atkin-Lehner |
2- 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98394bm |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1854720 |
Modular degree for the optimal curve |
Δ |
-37754665735793472 = -1 · 26 · 35 · 238 · 31 |
Discriminant |
Eigenvalues |
2- 3- 4 2 4 -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-407341,-100535407] |
[a1,a2,a3,a4,a6] |
j |
-95449897489/482112 |
j-invariant |
L |
11.335223176053 |
L(r)(E,1)/r! |
Ω |
0.094460192252104 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98394bn1 |
Quadratic twists by: -23 |